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Finding the Third Proportional to 16,931.25 and 39,971.25

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Solution

The third proportional to 16,931.25 and 39,971.25 is: 94,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,931.25 : 39,971.25 = 39,971.25 : x
  2. Step 2: Convert to fraction form
    16,931.25/39,971.25 = 39,971.25/x
  3. Step 3: Cross multiply
    16,931.25x = 39,971.25 × 39,971.25
  4. Step 4: Simplify right side
    16,931.25x = 1,597,700,826.56
  5. Step 5: Solve for x
    x = 1,597,700,826.56/16,931.25
  6. Step 6: Final answer
    x = 94,364.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.